Answered

1. Tick ([tex]\( N \)[/tex]) the correct option.

The cost price (CP) of an article sold for [tex]\(\text{₹} 220\)[/tex] at a loss of [tex]\(12\%\)[/tex] is:

A. [tex]\(\text{₹} 250\)[/tex]

B. [tex]\(\text{₹} 230\)[/tex]

C. [tex]\(\text{₹} 200\)[/tex]

D. [tex]\(\text{₹} 180\)[/tex]



Answer :

GinnyAnswer
To determine the cost price (CP) of an article sold for ₹220 at a loss of 12%, let's go through the steps to find the answer.

1. Identify the selling price (SP) and the loss percentage:
- Selling Price (SP): ₹220
- Loss Percentage: 12%

2. Calculate the loss amount:
Since the loss is 12%, this means the article was sold for 12% less than its cost price.
- Loss Amount = 12% of SP
- Loss Amount = 12/100 220
- Loss Amount = ₹26.4

3. Express the relationship between the cost price (CP) and the selling price (SP) considering the loss:
- SP = CP - Loss Amount

4. Using the loss percentage to express the cost price:

Given the loss percentage, we have:
- SP = CP - (Loss Percentage CP)
- 220 = CP - (12/100) CP
- 220 = CP - 0.12 CP

5. Factor out CP in the equation:
- 220 = CP(1 - 0.12)
- 220 = CP * 0.88

6. Solve for CP:
- CP = 220 / 0.88
- CP = ₹250.0

So, the cost price (CP) of the article is ₹250. Ticking option ₹250 as the correct answer is the appropriate solution.